Complex Numbers And Quadratic Equations question 739

If $ x_1,x_2,x_3 $ are distinct roots of the equation $ ax^{3}+bx^{2}+cx+d=0 $ then

Options:

A) $ a=b=0,c\in R $

B) $ a=c=0,b\in R $

C) $ b^{2}-4ac\ge 0 $

D) $ a=b=c=0 $

Show Answer

Answer:

Correct Answer: D

Solution:

Since quadratic equation $ ax^{2}+bx+c=0 $ has at most two distinct roots so it must be an identity. So $ a=b=c=0 $ .



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